how would you differentiate
x^pi
and
x^(pi)^2 + (pi^2)^x
thanks...
The first one is easy:
$\displaystyle \frac{d}{dx} \left ( x^{\pi} \right ) = \pi x^{\pi - 1}$
The second is a bit harder, and I need you to clarify something: The first term is $\displaystyle \left ( x ^{\pi} \right ) ^2$ or $\displaystyle x^{\pi ^2}$?
The derivative of the second term is "simple." The formula is somewhat ugly, but there is one:
$\displaystyle \frac{d}{dx} \left ( a^x \right ) = ln(a) \cdot a^x$.
-Dan